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Finding the Fourth Proportional to 52,675.86, 78,976.87 and 19,391.60

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Solution

The fourth proportional to 52,675.86, 78,976.87 and 19,391.60 is: 29,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.86 : 78,976.87 = 19,391.60 : x
  2. Step 2: Convert to fraction form
    52,675.86/78,976.87 = 19,391.60/x
  3. Step 3: Cross multiply
    52,675.86x = 78,976.87 × 19,391.60
  4. Step 4: Simplify right side
    52,675.86x = 1,531,488,130.33
  5. Step 5: Solve for x
    x = 1,531,488,130.33/52,675.86
  6. Step 6: Final answer
    x = 29,073.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.